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Finding the Fourth Proportional to 542.92, 748.80 and 333.12

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Solution

The fourth proportional to 542.92, 748.80 and 333.12 is: 459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 748.80 = 333.12 : x
  2. Step 2: Convert to fraction form
    542.92/748.80 = 333.12/x
  3. Step 3: Cross multiply
    542.92x = 748.80 × 333.12
  4. Step 4: Simplify right side
    542.92x = 249,440.26
  5. Step 5: Solve for x
    x = 249,440.26/542.92
  6. Step 6: Final answer
    x = 459.44

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Double scale
Find fourth proportional to 543.92, 750.18 and 334.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.